Report of the fit

Fit summary

Description: PV19 version x
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: False
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2 N_1 \alpha \sigma \lambda N_{1B} \alpha_B \sigma_B g_{2B}
-0.12171532362505316 654.4751907123826 140.22949684582787 1.8350315259676926 0.49862144025369637 0.020682804403049194 0.17977030257144908 0.0034810401323081995 0.042248352421387886

Theory summary

Collinear PDF set: MMHT2014nlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NLLp
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 128
\chi_{0}^2 = 3.2628
\chi_{mean}^2 = 3.1909
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 3.2801 \pm 0.0107
\langle E \rangle \pm \sigma_{E} = 4.3175 \pm 0.2259

Parameters

Parameter Central replica Average over replicas Fixed
g_2 -0.12171324 -0.12171315 \pm 0.00878992 False
N_1 2290.5502 22858.55589272 \pm 91979.53431227 False
\alpha 417.24014 2513.87711699 \pm 8988.48011056 False
\sigma 1.9663395 1.79482461 \pm 0.30610008 False
\lambda 0.49454503 0.48658755 \pm 0.06344241 False
N_{1B} 0.020409603 0.02352988 \pm 0.00950689 False
\alpha_B 0.17977059 0.17977411 \pm 6.727e-05 False
\sigma_B 0.0034851611 0.00351953 \pm 0.0005288 False
g_{2B} 0.041642355 0.04137174 \pm 0.00674311 False
Fitted parameter correlation matrix

Fit properties

Global \chi^2 distribution
Global error function distribution
g_2 distribution
N_1 distribution
\alpha distribution
\sigma distribution
\lambda distribution
N_{1B} distribution
\alpha_B distribution
\sigma_B distribution
g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.4915 0.2012 0.6927
E605_Q_8_9 8 0.914 0.0449 0.9589
E605_Q_10.5_11.5 10 0.5311 0.0348 0.5659
E605_Q_11.5_13.5 12 1.7165 0.4008 2.1173
E605_Q_13.5_18 13 2.4915 0.7444 3.2359
E288_200_Q_4_5 4 1.176 0.7007 1.8767
E288_200_Q_5_6 5 3.1172 0.6451 3.7622
E288_200_Q_6_7 6 1.3511 0.2654 1.6165
E288_200_Q_7_8 7 1.3963 0.027 1.4233
E288_200_Q_8_9 8 0.8052 0.0198 0.825
E288_300_Q_4_5 4 0.9047 0.1023 1.007
E288_300_Q_5_6 5 1.864 0.0848 1.9488
E288_300_Q_6_7 6 1.4965 0.0052 1.5017
E288_300_Q_7_8 7 0.6407 0.0163 0.657
E288_300_Q_8_9 8 0.407 0.0298 0.4368
E288_300_Q_11_12 9 0.3539 0.221 0.5749
E288_400_Q_5_6 5 1.2631 0.0047 1.2678
E288_400_Q_6_7 6 0.7727 0.0649 0.8377
E288_400_Q_7_8 7 0.4782 0.0731 0.5514
E288_400_Q_8_9 8 0.7191 0.0638 0.7828
E288_400_Q_11_12 11 0.5103 0.0249 0.5352
E288_400_Q_12_13 12 0.546 0.0286 0.5746
E288_400_Q_13_14 12 0.4284 0.0743 0.5027
STAR_510 7 1.6267 0.0302 1.6569
CDF_RunI 25 0.8913 0.2549 1.1461
CDF_RunII 26 1.6202 0.0317 1.6519
D0_RunI 12 0.8439 0.0094 0.8534
D0_RunII 5 0.7953 0.0081 0.8035
D0_RunIImu 3 0.9923 0.1531 1.1454
LHCb_7TeV 7 2.19 1.4453 3.6352
LHCb_8TeV 7 2.2627 2.6807 4.9434
LHCb_13TeV 7 1.7916 0.5726 2.3641
CMS_7TeV 4 5.5238 0 5.5238
CMS_8TeV 4 2.3354 0.4385 2.7738
ATLAS_7TeV_y_0_1 6 16.7883 4.909 21.6973
ATLAS_7TeV_y_1_2 6 12.263 2.6024 14.8654
ATLAS_7TeV_y_2_2.4 6 3.4986 0.1705 3.6692
ATLAS_8TeV_y_0_0.4 6 12.5909 3.8895 16.4804
ATLAS_8TeV_y_0.4_0.8 6 16.9214 6.0062 22.9277
ATLAS_8TeV_y_0.8_1.2 6 11.4388 2.219 13.6578
ATLAS_8TeV_y_1.2_1.6 6 7.4139 1.7078 9.1217
ATLAS_8TeV_y_1.6_2 6 6.3556 2.2323 8.5879
ATLAS_8TeV_y_2_2.4 6 2.7285 0.7623 3.4907
ATLAS_8TeV_Q_46_66 4 2.2487 0.3708 2.6195
ATLAS_8TeV_Q_116_150 8 3.518 0.1115 3.6295
Total 353 - - 3.2628
Mean-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.7147 0.1462 0.861
E605_Q_8_9 8 1.2961 0.1067 1.4028
E605_Q_10.5_11.5 10 0.8116 0.0314 0.843
E605_Q_11.5_13.5 12 1.2568 0.226 1.4828
E605_Q_13.5_18 13 1.2564 0.4176 1.674
E288_200_Q_4_5 4 0.5968 0.4821 1.0789
E288_200_Q_5_6 5 1.7302 0.3111 2.0414
E288_200_Q_6_7 6 0.9751 0.2094 1.1846
E288_200_Q_7_8 7 1.4228 0.0513 1.4741
E288_200_Q_8_9 8 1.1914 0.0029 1.1943
E288_300_Q_4_5 4 0.7052 0.1687 0.8739
E288_300_Q_5_6 5 1.7159 0.0648 1.7807
E288_300_Q_6_7 6 1.7739 0.0254 1.7994
E288_300_Q_7_8 7 0.8713 0.0288 0.9001
E288_300_Q_8_9 8 0.4097 0.0357 0.4453
E288_300_Q_11_12 9 1.0192 0.1761 1.1952
E288_400_Q_5_6 5 1.9475 0.0175 1.965
E288_400_Q_6_7 6 1.8576 0.0393 1.8969
E288_400_Q_7_8 7 1.6375 0.0691 1.7067
E288_400_Q_8_9 8 1.8312 0.0732 1.9044
E288_400_Q_11_12 11 0.7145 0.0359 0.7504
E288_400_Q_12_13 12 0.8322 0.0309 0.8631
E288_400_Q_13_14 12 0.8861 0.0708 0.9569
STAR_510 7 1.3968 0.0834 1.4801
CDF_RunI 25 0.7091 0.239 0.9481
CDF_RunII 26 1.801 0.0257 1.8267
D0_RunI 12 0.7102 0.0139 0.7241
D0_RunII 5 2.312 0.0155 2.3275
D0_RunIImu 3 0.9461 0.4472 1.3933
LHCb_7TeV 7 1.7124 1.4107 3.1231
LHCb_8TeV 7 1.9698 2.4908 4.4606
LHCb_13TeV 7 1.5759 0.5103 2.0862
CMS_7TeV 4 5.3675 0 5.3675
CMS_8TeV 4 2.1951 0.4055 2.6006
ATLAS_7TeV_y_0_1 6 15.7002 5.0557 20.7559
ATLAS_7TeV_y_1_2 6 11.4228 2.5715 13.9943
ATLAS_7TeV_y_2_2.4 6 3.3462 0.1722 3.5185
ATLAS_8TeV_y_0_0.4 6 11.9106 3.8812 15.7918
ATLAS_8TeV_y_0.4_0.8 6 16.1788 5.9291 22.1078
ATLAS_8TeV_y_0.8_1.2 6 10.9073 2.1809 13.0882
ATLAS_8TeV_y_1.2_1.6 6 6.9654 1.6974 8.6628
ATLAS_8TeV_y_1.6_2 6 5.8355 2.1127 7.9483
ATLAS_8TeV_y_2_2.4 6 2.5221 0.7408 3.263
ATLAS_8TeV_Q_46_66 4 1.9766 0.3201 2.2966
ATLAS_8TeV_Q_116_150 8 3.3693 0.1021 3.4714
Total 353 - - 3.1909
Average-over-replicas \chi^2’s:
Experiment Number of points \chi^2
E605_Q_7_8 7 0.7069 \pm 0.0904
E605_Q_8_9 8 1.0087 \pm 0.0821
E605_Q_10.5_11.5 10 0.6035 \pm 0.0836
E605_Q_11.5_13.5 12 2.1324 \pm 0.1821
E605_Q_13.5_18 13 3.2252 \pm 0.1813
E288_200_Q_4_5 4 1.9014 \pm 0.1804
E288_200_Q_5_6 5 3.7638 \pm 0.2429
E288_200_Q_6_7 6 1.6174 \pm 0.1747
E288_200_Q_7_8 7 1.4211 \pm 0.1844
E288_200_Q_8_9 8 0.8307 \pm 0.0966
E288_300_Q_4_5 4 1.0185 \pm 0.1266
E288_300_Q_5_6 5 1.946 \pm 0.2245
E288_300_Q_6_7 6 1.4896 \pm 0.2659
E288_300_Q_7_8 7 0.6583 \pm 0.1612
E288_300_Q_8_9 8 0.451 \pm 0.0321
E288_300_Q_11_12 9 0.5843 \pm 0.06
E288_400_Q_5_6 5 1.2526 \pm 0.2528
E288_400_Q_6_7 6 0.8334 \pm 0.3124
E288_400_Q_7_8 7 0.5656 \pm 0.2964
E288_400_Q_8_9 8 0.8071 \pm 0.2253
E288_400_Q_11_12 11 0.5512 \pm 0.0606
E288_400_Q_12_13 12 0.5877 \pm 0.0555
E288_400_Q_13_14 12 0.5077 \pm 0.107
STAR_510 7 1.6262 \pm 0.1023
CDF_RunI 25 1.1498 \pm 0.0355
CDF_RunII 26 1.7186 \pm 0.2243
D0_RunI 12 0.867 \pm 0.0812
D0_RunII 5 0.8379 \pm 0.1708
D0_RunIImu 3 1.2009 \pm 0.0877
LHCb_7TeV 7 3.6606 \pm 0.1047
LHCb_8TeV 7 4.9942 \pm 0.1537
LHCb_13TeV 7 2.3875 \pm 0.0464
CMS_7TeV 4 5.5227 \pm 0.0585
CMS_8TeV 4 2.7751 \pm 0.0843
ATLAS_7TeV_y_0_1 6 21.7131 \pm 0.4253
ATLAS_7TeV_y_1_2 6 14.9134 \pm 0.3897
ATLAS_7TeV_y_2_2.4 6 3.6984 \pm 0.094
ATLAS_8TeV_y_0_0.4 6 16.483 \pm 0.2926
ATLAS_8TeV_y_0.4_0.8 6 22.9654 \pm 0.3531
ATLAS_8TeV_y_0.8_1.2 6 13.6675 \pm 0.2534
ATLAS_8TeV_y_1.2_1.6 6 9.1361 \pm 0.1975
ATLAS_8TeV_y_1.6_2 6 8.6294 \pm 0.2815
ATLAS_8TeV_y_2_2.4 6 3.5283 \pm 0.1425
ATLAS_8TeV_Q_46_66 4 2.6154 \pm 0.1052
ATLAS_8TeV_Q_116_150 8 3.6397 \pm 0.0753
Total 353 3.2801 \pm 0.0107

TMDs in k_T space

TMD PDF of the d at Q = 2 GeV and x = 0.001
TMD PDF of the d at Q = 2 GeV and x = 0.01
TMD PDF of the d at Q = 2 GeV and x = 0.1
TMD PDF of the d at Q = 2 GeV and x = 0.5
TMD PDF of the d at Q = 2 GeV and x = 0.9

Data-theory comparison

E605_Q_7_8 data-theory comparison
E605_Q_8_9 data-theory comparison
E605_Q_10.5_11.5 data-theory comparison
E605_Q_11.5_13.5 data-theory comparison
E605_Q_13.5_18 data-theory comparison
E288_200_Q_4_5 data-theory comparison
E288_200_Q_5_6 data-theory comparison
E288_200_Q_6_7 data-theory comparison
E288_200_Q_7_8 data-theory comparison
E288_200_Q_8_9 data-theory comparison
E288_300_Q_4_5 data-theory comparison
E288_300_Q_5_6 data-theory comparison
E288_300_Q_6_7 data-theory comparison
E288_300_Q_7_8 data-theory comparison
E288_300_Q_8_9 data-theory comparison
E288_300_Q_11_12 data-theory comparison
E288_400_Q_5_6 data-theory comparison
E288_400_Q_6_7 data-theory comparison
E288_400_Q_7_8 data-theory comparison
E288_400_Q_8_9 data-theory comparison
E288_400_Q_11_12 data-theory comparison
E288_400_Q_12_13 data-theory comparison
E288_400_Q_13_14 data-theory comparison
STAR_510 data-theory comparison
CDF_RunI data-theory comparison
CDF_RunII data-theory comparison
D0_RunI data-theory comparison
D0_RunII data-theory comparison
D0_RunIImu data-theory comparison
LHCb_7TeV data-theory comparison
LHCb_8TeV data-theory comparison
LHCb_13TeV data-theory comparison
CMS_7TeV data-theory comparison
CMS_8TeV data-theory comparison
ATLAS_7TeV_y_0_1 data-theory comparison
ATLAS_7TeV_y_1_2 data-theory comparison
ATLAS_7TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_y_0_0.4 data-theory comparison
ATLAS_8TeV_y_0.4_0.8 data-theory comparison
ATLAS_8TeV_y_0.8_1.2 data-theory comparison
ATLAS_8TeV_y_1.2_1.6 data-theory comparison
ATLAS_8TeV_y_1.6_2 data-theory comparison
ATLAS_8TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_Q_46_66 data-theory comparison
ATLAS_8TeV_Q_116_150 data-theory comparison